- Albinali A. (Forthcoming 2016) Analytical Modeling of Fractured Nano-Porous Reservoirs, PhD Dissertation, Colorado School of Mines. [Google Scholar]
- Barenblatt G.E., Zheltov I.P., Kochina I.N. (1960) Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, Journal of Applied Mathematics and Mechanics 24, 5, 1286–1303. [Google Scholar]
- Barker J. (1988) A generalized radial flow model for hydraulic tests in fractured rock, Water Resources Research 24, 10, 1796–1804. [CrossRef] [Google Scholar]
- Berkowitz B., Scher H., Silliman S.E. (2000) Anomalous transport in laboratory-scale, heterogeneous porous media, Water Resources Research 36, 1, 149–158. [CrossRef] [Google Scholar]
- Camacho-Velázquez R., Fuentes-cruz G., Vásquez-Cruz M. (2008) Decline-Curve Analysis of Fractured Reservoirs with Fractal Geometry, SPE Reservoir Evaluation & Engineering 11, 3, 606–619. [Google Scholar]
- Camacho-Velázquez R., Vásquez-Cruz M.A., Fuentes-Cruz G. (2012) Recent Advances in Dynamic Modeling of Naturally Fractured Reservoirs, SPE Latin American and Caribbean Petroleum Engineering Conference, Mexico City, Mexico, April 16-18. [Google Scholar]
- Caputo M. (1967) Linear Models of Dissipation whose Q is almost Frequency Independent-II, Geophysical Journal 13, 5, 529–539. [Google Scholar]
- Chang J., Yortsos Y.C. (1990) Pressure transient analysis of fractal reservoirs, SPE Formation Evaluation 5, 1, 31–38. [Google Scholar]
- Chen C., Raghavan R. (2015) Transient flow in a linear reservoir for space-time fractional diffusion, Journal of Petroleum Science and Engineering 128, 194–202. [CrossRef] [Google Scholar]
- de Swaan A. (1976) Analytic Solutions for Determining Naturally Fractured Reservoir Properties by Well Testing, Society of Petroleum Engineers Journal 16, 3, 117–122. [Google Scholar]
- de Swaan A., Camacho-Velázquez R., Vásquez-Cruz M. (2012) Interference Tests Analysis in Fractured Formations with a Time-fractional Equation, SPE Latin American and Caribbean Petroleum Engineering Conference, Mexico City, Mexico, April 16-18. [Google Scholar]
- Holy R. (Forthcoming 2016) Numerical Investigation of 1D Anomalous Diffusion in Fractured Nanoporous Reservoirs, PhD Dissertation, Colorado School of Mines. [Google Scholar]
- Kazemi H. (1969) Pressure Transient Analysis of Naturally Fractured Reservoirs with Uniform Fracture Distribution, Society of Petroleum Engineers Journal 9, 4, 451–462. [Google Scholar]
- Kazemi H., Merrill Jr L.S., Porterfield K.L., Zeman P.R. (1976) Numerical Simulation of Water-Oil Flow in Naturally Fractured Reservoirs, Society of Petroleum Engineers Journal 16, 6, 17–326. [Google Scholar]
- Kilbas A.A., Srivastava H.M., Trujillo J.J. (2006) Fractional Integrals and Fractional Derivatives, in Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam. [Google Scholar]
- Klimek M., Lupa M. (2011) On Reflection Symmetry in Fractional Mechanics, Scientific Research of the Institute of Mathematics and Computer Science 10, 1, 109–121. [Google Scholar]
- Mandelbort B.B. (1983) The Fractal Geometry of Nature, W.H. Freeman and Company, New York. [Google Scholar]
- Metzler R., Glockle W.G., Nonnenmacher T.F. (1994) Fractional Model Equation for Anomalous Diffusion, Physica A: Statistical Mechanics and its Applications 211, 1, 13–24. [Google Scholar]
- Metzler R., Klafter J. (2000) The Random Walk’s Guide to Anomalous Diffusion: a Fractional Dynamics Approach, Physics reports 339, 1, 1–77. [Google Scholar]
- Montroll E.W., Weiss G.H. (1965) Random Walks on Lattices II, Journal of Mathematical Physics 6, 2, 167–181. [Google Scholar]
- Murio D.A. (2008) Implicit finite difference approximation for time fractional diffusion equations, Computers and Mathematics with Applications 56, 4, 1138–1145. [CrossRef] [MathSciNet] [Google Scholar]
- Nelson R.A. (2001) Geologic Analysis of Naturally Fractured Reservoirs, 2nd edn., Gulf Professional Publishing, Woburn. [Google Scholar]
- Noetinger B., Gautier Y. (1998) Use of the Fourier-Laplace transform and of diagrammatical methods to interpret pumping tests in heterogeneous reservoirs, Advances in Water Resources 21, 7, 581–590. [CrossRef] [Google Scholar]
- Noetinger B., Estebenet T., Landereau P. (2001) A direct determination of the transient exchange term of fractured media using a continuous time random walk method, Transport in porous media 44, 3, 539–557. [Google Scholar]
- Ozkan E., Brown M., Raghavan R., Kazemi H. (2009) Comparison of Fractured Horizontal-Well Performance in Conventional and Unconventional Reservoirs, SPE Western Regional Meeting, San Jose, California, March 24-26. [Google Scholar]
- Ozkan E. (2011) On Non-Darcy Flow in Porous Media: Modeling Gas Slippage in Nano-pores, SIAM Mathematical & Computational Issues in the Geosciences Meeting, Long Beach, California, March 21-24. [Google Scholar]
- Ozkan E. (2013) A Discourse on Unconventional Reservoir Engineering – The State of the Art after a Decade, Unconventional Reservoir Engineering Project Consortium Meeting at Colorado School of Mines, Golden, Colorado, Nov. 8-11. [Google Scholar]
- O’Shaughnessy B., Procaccia I. (1985) Diffusion on Fractals, Physical Review A 32, 5, 3073–3083. [Google Scholar]
- Raghavan R. (2011) Fraction Derivative: Application to Transient Flow, Journal of Petroleum Science and Engineering 80, 1, 7–13. [Google Scholar]
- Raghavan R., Chen C. (2013) Fractured-Well Performance under Anomalous Diffusion, SPE Reservoir Evaluation & Engineering 16, 3, 237–254. [Google Scholar]
- Redner S. (1989) Superdiffusive Transport Due to Random Velocity Fields, Physica D: Nonlinear Phenomena 38, 1-3, 287–290. [CrossRef] [MathSciNet] [Google Scholar]
- Roy S., Raju R., Chuang H.F., Cruden B.A., Meyyappan M. (2003) Modeling gas flow through microchannels and nanopores, Journal of Applied Physics 93, 8, 4870–4879. [CrossRef] [Google Scholar]
- Russian A. (2013) Anomalous Dynamics of Darcy Flow and Diffusion through Heterogeneous Media, PhD Dissertation, Universitat Politècnica de Catalunya. [Google Scholar]
- Stehfest H. (1970) Numerical Inversion of Laplace Transforms, Communications of the ACM 13, 1, 47–49. [Google Scholar]
- Zhang X., Lv M., Crawford J., Young I.M. (2007) The impact of boundary on the fractional advection-dispersion equation for solute transport in soil: Defining the fractional dispersive flux with the Caputo derivatives, Advances in Water Resources 30, 5, 1205–1217. [CrossRef] [Google Scholar]
Open Access
| Numéro |
Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles
Volume 71, Numéro 4, Juillet–Août 2016
Dossier: Characterisation and Modeling of Low Permeability Media and Nanoporous Materials
|
|
|---|---|---|
| Numéro d'article | 56 | |
| Nombre de pages | 25 | |
| DOI | https://doi.org/10.2516/ogst/2016008 | |
| Publié en ligne | 9 août 2016 | |
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